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| Description
| - V článku se zkoumají vlastnosti nekonečně-stavových Markovových rozhodovacích procesů, které jsou generované zásobníkovými procesy bez kontrolních stavů. Tato třída procesů odpovídá hrám s 1.5 hráči nad grafy, které jsou generované BPA systémy. Dokážeme, že kvalitativní problém dosažitelnosti je pro tuto třídu procesů rozhodnutelný v polynomiálním čase. Aplikaci tohoto výsledku prokážeme EXPTIME-úplnost problému platnosti dané kvalitativní PCTL formule v daném stavu daného procesu. (cs)
- We consider a class of infinite-state Markov decision processes generated by stateless pushdown automata. This class corresponds to 1.5-player games over graphs generated by BPA systems or (equivalently) 1-exit recursive state machines. An extended reachability objective is specified by two sets S and T of safe and terminal stack configurations, where the membership to S and T depends just on the top-of-the-stack symbol. The question is whether there is a suitable strategy such that the probability of hitting a terminal configuration by a path leading only through safe configurations is equal to (or different from) a given x in {0,1}. We show that the qualitative extended reachability problem is decidable in polynomial time, and that the set of all configurations for which there is a winning strategy is effectively regular. More precisely, this set can be represented by a deterministic finite-state automaton with a fixed number of control states. This result is a generalization of a recent theorem by
- We consider a class of infinite-state Markov decision processes generated by stateless pushdown automata. This class corresponds to 1.5-player games over graphs generated by BPA systems or (equivalently) 1-exit recursive state machines. An extended reachability objective is specified by two sets S and T of safe and terminal stack configurations, where the membership to S and T depends just on the top-of-the-stack symbol. The question is whether there is a suitable strategy such that the probability of hitting a terminal configuration by a path leading only through safe configurations is equal to (or different from) a given x in {0,1}. We show that the qualitative extended reachability problem is decidable in polynomial time, and that the set of all configurations for which there is a winning strategy is effectively regular. More precisely, this set can be represented by a deterministic finite-state automaton with a fixed number of control states. This result is a generalization of a recent theorem by (en)
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| Title
| - Reachability in Recursive Markov Decision Processes
- Reachability in Recursive Markov Decision Processes (en)
- Dosažitelnost pro Markovovy rozhodovací procesy (cs)
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| skos:prefLabel
| - Reachability in Recursive Markov Decision Processes
- Reachability in Recursive Markov Decision Processes (en)
- Dosažitelnost pro Markovovy rozhodovací procesy (cs)
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| skos:notation
| - RIV/00216224:14330/06:00017081!RIV08-MSM-14330___
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| http://linked.open.../vavai/riv/strany
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
| - P(1M0545), Z(MSM0021622419)
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| http://linked.open...iv/cisloPeriodika
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/00216224:14330/06:00017081
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - Markov decision processes; reachability (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...odStatuVydavatele
| - DE - Spolková republika Německo
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/nazevZdroje
| - Lecture Notes in Computer Science
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...vavai/riv/projekt
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| http://linked.open...UplatneniVysledku
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| http://linked.open...v/svazekPeriodika
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| http://linked.open...iv/tvurceVysledku
| - Brožek, Václav
- Brázdil, Tomáš
- Forejt, Vojtěch
- Kučera, Antonín
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| http://linked.open...n/vavai/riv/zamer
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| issn
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| number of pages
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| http://localhost/t...ganizacniJednotka
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